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Least Common Multiple (LCM) of 24 and 120

The least common multiple (LCM) of 24 and 120 is 120.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 24 and 120?

First, calculate the GCD of 24 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 120 = 0 remainder 24
2 120 ÷ 24 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
11 and 5555
19 and 781482
79 and 15312087
15 and 175525
159 and 13922101

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